Respuesta :

mhanifa

Answer:

  • 22

Step-by-step explanation:

We are considering for non-parallel lines and no three intersections

Let's see how many open areas are produced by the lines on a plane

  • 1 line = 2 open areas
  • 2 line = 4 open areas
  • 3 lines = 6 open areas and 1 closed region
  • 4 lines = 8 open areas and 3 closed regions
  • 5 lines = 10 open areas and 6 closed regions

and so on

We see a pattern of 2n open areas for n lines, so

  • 11 lines = 22 open areas